On the geometry and topology of the solution variety for polynomial system solving (Q1928275)
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scientific article; zbMATH DE number 6121323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geometry and topology of the solution variety for polynomial system solving |
scientific article; zbMATH DE number 6121323 |
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On the geometry and topology of the solution variety for polynomial system solving (English)
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3 January 2013
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The authors study the geometry and topology of the rank stratification of the solution variety for polynomial system solving. This variety is the set of pairs (system, solution) such that the derivative of the system at the solution has a given rank. It is a smooth manifold and it is endowed with a natural Riemannian structure. The authors' approach is to study the gradient flow of the Frobenius condition number defined on each stratum.
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solution variety
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polynomial system solving
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Frobenius number
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0.9350475
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0.91692966
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0.91535145
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0.91051817
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0.9042149
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